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PreprintarXiv licencearXiv

Lieb-Robinson bounds via the Combes-Thomas estimate

  • Tali Braester
  • Haochen Luo
  • George Peykanu
  • Sergii Solomakha
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Abstract

This paper studies quantum spin systems: networks of spins coupled by local interactions. The Lieb-Robinson bound predicts that in these systems, information propagates at an essentially finite speed. We produce a new proof of this result. Our approach relies on a spectral bound on entries of resolvents of band matrices, the Combes-Thomas estimate, rather than on the standard path-counting argument.

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Cite

BibTeXRIS
BibTeX
@misc{braester2026liebrobinson,
  title = {{Lieb-Robinson bounds via the Combes-Thomas estimate}},
  author = {Tali Braester and Haochen Luo and George Peykanu and Sergii Solomakha},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28927},
  eprint = {2610.28927},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28927},
}
RIS
TY  - UNPB
TI  - Lieb-Robinson bounds via the Combes-Thomas estimate
AU  - Tali Braester
AU  - Haochen Luo
AU  - George Peykanu
AU  - Sergii Solomakha
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28927
UR  - https://arxiv.org/abs/2610.28927
AB  - This paper studies quantum spin systems: networks of spins coupled by local interactions. The Lieb-Robinson bound predicts that in these systems, information propagates at an essentially finite speed. We produce a new proof of this result. Our approach relies on a spectral bound on entries of resolvents of band matrices, the Combes-Thomas estimate, rather than on the standard path-counting argument.
ER  -